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Finding the Fourth Proportional to 120.34, 166.11 and 81.59

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Solution

The fourth proportional to 120.34, 166.11 and 81.59 is: 112.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    120.34 : 166.11 = 81.59 : x
  2. Step 2: Convert to fraction form
    120.34/166.11 = 81.59/x
  3. Step 3: Cross multiply
    120.34x = 166.11 × 81.59
  4. Step 4: Simplify right side
    120.34x = 13,552.91
  5. Step 5: Solve for x
    x = 13,552.91/120.34
  6. Step 6: Final answer
    x = 112.63

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.